11332313212220 has 384 divisors, whose sum is σ = 32480729229312. Its totient is φ = 3206946816000.

The previous prime is 11332313212201. The next prime is 11332313212327. The reversal of 11332313212220 is 2221231323311.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11332313212220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 316518320 + ... + 316554120.

It is an arithmetic number, because the mean of its divisors is an integer number (84585232368).

Almost surely, 2^{11332313212220} is an apocalyptic number.

11332313212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11332313212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240364614656).

11332313212220 is an abundant number, since it is smaller than the sum of its proper divisors (21148416017092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11332313212220 is a wasteful number, since it uses less digits than its factorization.

11332313212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36101 (or 36099 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 11332313212220 its reverse (2221231323311), we get a palindrome (13553544535531).

The spelling of 11332313212220 in words is "eleven trillion, three hundred thirty-two billion, three hundred thirteen million, two hundred twelve thousand, two hundred twenty".